Live analysis

998,166

998,166 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

998,166 (nine hundred ninety-eight thousand one hundred sixty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 67 × 191. Its proper divisors sum to 1,195,242, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B16.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Harshad / Niven Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

998,154 998,155 998,156 998,157 998,158 998,159 998,160 998,161 998,162 998,163 998,164 998,165 998,166 998,167 998,168 998,169 998,170 998,171 998,172 998,173 998,174 998,175 998,176 998,177 998,178

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 23,328
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 661,899
Flips to (rotate 180°): 991,866
Square (n²): 996,335,363,556
Cube (n³): 994,508,084,499,238,296
Divisor count: 32
σ(n) — sum of divisors: 2,193,408
φ(n) — Euler's totient: 300,960
Sum of prime factors: 276

Primality

Prime factorization: 2 × 3 × 13 × 67 × 191

Nearest primes: 998,161 (−5) · 998,167 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 67 · 78 · 134 · 191 · 201 · 382 · 402 · 573 · 871 · 1146 · 1742 · 2483 · 2613 · 4966 · 5226 · 7449 · 12797 · 14898 · 25594 · 38391 · 76782 · 166361 · 332722 · 499083 (half) · 998166

Aliquot sum (sum of proper divisors): 1,195,242

Factor pairs (a × b = 998,166)

1 × 998166

2 × 499083

3 × 332722

6 × 166361

13 × 76782

26 × 38391

39 × 25594

67 × 14898

78 × 12797

134 × 7449

191 × 5226

201 × 4966

382 × 2613

402 × 2483

573 × 1742

871 × 1146

First multiples

998,166 · 1,996,332 (double) · 2,994,498 · 3,992,664 · 4,990,830 · 5,988,996 · 6,987,162 · 7,985,328 · 8,983,494 · 9,981,660

Sums & aliquot sequence

As consecutive integers: 332,721 + 332,722 + 332,723 249,540 + 249,541 + 249,542 + 249,543 83,175 + 83,176 + … + 83,186 76,776 + 76,777 + … + 76,788

Aliquot sequence: 998,166 → 1,195,242 → 1,195,254 → 1,394,502 → 1,394,514 → 1,902,078 → 2,245,338 → 2,684,262 → 3,536,538 → 3,555,078 → 3,610,938 → 3,610,950 → 7,221,690 → 14,793,030 → 30,683,610 → 57,167,910 → 97,177,050 — unresolved within range

Continued fraction of √n

√998,166 = [999; (12, 9, 8, 79, 1, 4, 11, 1, 10, 16, 2, 2, 1, 2, 2, 9, 20, 1, 12, 1, 2, 1, 3, 40, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred sixty-six
Ordinal: 998166th
Binary: 11110011101100010110
Octal: 3635426
Hexadecimal: 0xF3B16
Base64: DzsW
One's complement: 4,293,969,129 (32-bit)
Scientific notation: 9.98166 × 10⁵
As a duration: 998,166 s = 11 days, 13 hours, 16 minutes, 6 seconds

In other bases

ternary (3) 1212201020010

quaternary (4) 3303230112

quinary (5) 223420131

senary (6) 33221050

septenary (7) 11325051

nonary (9) 1781203

undecimal (11) 621a34

duodecimal (12) 401786

tridecimal (13) 28c440

tetradecimal (14) 1bda98

pentadecimal (15) 14ab46

As an angle

998,166° = 2,772 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηρξϛʹ
Chinese: 九十九萬八千一百六十六
Chinese (financial): 玖拾玖萬捌仟壹佰陸拾陸

In other modern scripts

Eastern Arabic ٩٩٨١٦٦ Devanagari ९९८१६६ Bengali ৯৯৮১৬৬ Tamil ௯௯௮௧௬௬ Thai ๙๙๘๑๖๖ Tibetan ༩༩༨༡༦༦ Khmer ៩៩៨១៦៦ Lao ໙໙໘໑໖໖ Burmese ၉၉၈၁၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998166, here are decompositions:

5 + 998161 = 998166
19 + 998147 = 998166
83 + 998083 = 998166
89 + 998077 = 998166
97 + 998069 = 998166
137 + 998029 = 998166
139 + 998027 = 998166
149 + 998017 = 998166

Showing the first eight; more decompositions exist.

Hex color

#0F3B16

RGB(15, 59, 22)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.22.

Address: 0.15.59.22
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.22

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 998,166 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US998,166 on Google Patents ↗ Look up on USPTO ↗